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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
    The sides of two square plots are \[\left( 2x\text{ }-1 \right)m\]and\[\left( 5x+4 \right)m\]. The area of the second square plot is 9 times the area of the first square plot. Find the side of the larger plot.

    A)  50 m                           

    B)  20 m         

    C)  26 m                           

    D)  39 m

    Correct Answer: D

    Solution :

    (d): \[{{(5x+4)}^{2}}=9{{(2x-1)}^{2}}\Rightarrow 5x+4=\pm \,3(2x-1)\] \[\Rightarrow 5x+4+6x-3=0\] Or \[5x+4+6x+3=0\] \[\Rightarrow 11x=-1\] Or \[5x+4-6x+3=0\Rightarrow -x+7=0\Rightarrow x=7\]


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